One month Sam rented 3 movies and 8 video games for a total of $55 . The next month he rented 5 movies and 2 video games for a total of $18 . Find the rental cost for each movie and each video game.

Answers

Answer 1

Answer:

Step-by-step explanation:

You are trying to find the values of two quantities, so you will need to set up a system of two equations in two variables. We'll call M the price of a movie and V the price of a video game.

The first month: 3 movies, 8 video games, $55. Let's translate this into algebra:

3M + 8V = 55

The second month: 5 movies, 2 video games, $18. Translated:

5M + 2V = 18

Solve that system of equations


Related Questions

what's the answer to n+4.5-0.3n-3

Answers

1. Collect like terms

(n - 0.3n) + (4.5 - 3)

2. Simplify

0.7n + 1.5

Final Answer:

0.7n + 1.5

(3x + 4) + (5x - 6) add or subtract horizontally

Answers

Answer:

[tex](3x+4)(5x−6)\\ 3x+4+5x−6\\\\3x+4+5x−6 \\3x−2+5x\\\\3x−2+5x\\8x−2\\\\8x−2[/tex]

Step-by-step explanation: all the a's are minuses  

An airplane is flying at a height of 200m. Its angle of elevation to an observer on the ground is 230. Calculate the distance of the airplane from the observer.

Answers

Answer:

Distance between the plane and the observer is 511.86 miles.

Step-by-step explanation:

From the figure attached,

A plane is flying at point A which is at 200 m height and observer is at point C.

Angle of elevation (∠ACB) of the plane from the observer is 23°.

Let the distance between the observer and the plane is x meters.

By applying sine ratio for angle C,

sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(23°) = [tex]\frac{200}{x}[/tex]

x = [tex]\frac{200}{\text{sin}(23)}[/tex]

x = 511.86 miles

Therefore, distance between the plane and the observer is 511.86 miles.

I need help with this question.
I’ll mark you as a brainliest.

Answers

m1: 128
m2: 52
m3: 128 (alternate interior angles)

What is the square root of m? O m2 O m3 O m4 O m5​

Answers

Answer:

The correct answer is: (Option B)

Explanation:

Given expression:

Take square-root of the expression:

Evaluate the resultant expression:

Hence the correct answer is option (B) .

Option B I think most likely

The difference quotient is used to determine the average rate of change of g(x) = 5x2 + 6x on the interval from x = 1 to x = 5. Which statement describes the process correctly?

Answers

Answer:

C. The difference quotient is 10x+5h +6, so the average rate of change is 10(1)+ 5(4) + 6 = 36

Step-by-step explanation:

The statement is the difference quotient is 10x+5h +6.

What is average rate of change of function?

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

Given function:

g(x) = 5x² + 6x

interval is x= 1 to x=5

so, the average rate of change is

=10(1)+ 5(4) + 6

= 36

Learn more about average rate of change here:

https://brainly.com/question/7223796

#SPJ2

what is 1.22+0.34 pls guys ​

Answers

Step-by-step explanation:

1.22+0.34

= 1.56

Hope it will help :)

Answer:

= 1.56

Step-by-step explanation:

1.22 + 0.34 = ?

00.2 + 0.04 = 0.06

0.2 + 0.3 = 0.5

1 + 0 = 1

1 + 0.5 + 0.06 = 1.56

Help! my teacher gave me this exit ticket but I don't quite understand.

Answers

Answer:

4

-4

5

8

Step-by-step explanation:

you just divied like normal but if you have two negitives you will end out with the positve of the number

What ^she said! Have a great day:)

please explain i really don’t understand

Answers

Answer:

22.5°

Step-by-step explanation:

First we need to figure out the size of the interior angles on the inside.

The formula of figuring out the total degrees of all the interior angles of any shape is (n-2)×180°.

N is the number of sides.

If we substitute our number of sides (8) we get this:

(8-2)×180°

6×180° = 1080°

Then we divide 1080 by 8 since this is a regular octagon (all angles are equal in a regular shape).

1080° ÷ 8 = 135°

Focusing on the triangle now, we now know that the angle on the tip of the triangle is 135° as it has not been split by the line.

Using the rule of angles in a triangle add up to 180°. We do this sum:

180° - 135° = 45°

There are 2 angles left in the triangle so we do:

45° ÷ 2 = 22.5°

Therefore the angle of x is 22.5°.

6. 22 ounce box of Cheerios cost $2.79. A 32 ounce box of Wheaties cost $3.50. Which box is more expensive per ounce? Find cost per ounce.

Answers

Answer:

The cheerios are more expensive per ounce

Step-by-step explanation:

6. 22 ounce box of Cheerios cost $2.79---$0.45

A 32 ounce box of Wheaties cost $3.50----$0.11

2.79/6.22 =0.45

3.50/32 = 0.11

In the Seventh grade Rachel read 15 books in the 8th grade she read 19 books what is the percent of change of books read

Answers

Answer:

26.67%

Step-by-step explanation:

In the Seventh grade Rachel read 15 books in the 8th grade she read 19 books what is the percent of change of books read

The formula for Percent change =

New value - Original value/Original value × 100

New value = 19 books

Original value = 15 books

= 19 - 15/15 × 100

= 4/15 × 100

= 26.67%

The percent change of book read= 26.67%

Name the property of addition modeled here. If a = b, then a + c = b + c. A. Addition Property of Equality B. Commutative Property of Addition C. Associative Property of Addition D. None of the above I think it is either B or C

Answers

Answer: I'm pretty sure it's B

Step-by-step explanation:

Answer:

Do you still need an answer? If so, B!

Step-by-step explanation:

Just by looking at the equation you can see the addition symbols. Since there are also letters, you can use that information to help you solve the answer using the key word: Commutative.

For Example: If Lily needs $40 and she already has $30 how many more dollars does she need?

Answer: m-$30=$40 m=$10

Emir flew home from vacation with a heavy bag. With the first airline he flew, Emir had to pay $20 to check his bag, plus $10 for every pound that his bag was over the weight limit. The next flight was with another airline that had the same weight limit. Emir had to pay $5 per pound that his bag was over the weight limit, in addition to the checked bag fee of $30. By coincidence, the fees ended up being the same with both airlines. How large was each airline's fee?

Answers

Answer:

$27.5

Step-by-step explanation:

Let

x = pound over weight limit

Airline 1 = 20 + 10x

Airline 2 = 5 + 30x

Equate the fees

20 + 10x = 5 + 30x

20 - 5 = 30x - 10x

15 = 20x

x = 15/20

x = 0.75 pounds

How large was each airline's fee?

Airline 1 = 20 + 10x

= 20 + 10(0.75)

= 20 + 7.5

= $27.5

Airline 2 = 5 + 30x

= 5 + 30(0.75)

= 5 + 22.5

= $27.5

Samantha wants to buy a house and plans to rent the apartment located in the basement for extra income. The house has a purchase price of $200,000 and she will make a 10% down payment. Samantha has qualified for a 30 year mortgage with a fixed rate of 5.875%. Approximately how much rent should she charge for the apartment in order to cover her monthly mortgage payment if she only wants to spend $500 a month of her own money?

Answers

Answer:

$567.07

Step-by-step explanation:

Given that :

Purchase price = $200,000

Number of years = 30

Rate = 5.875%

Down payment = 10%

Hence, mortgage amount :

Purchase price - down payment

200,000 - (0.1 * 200000)

200,000 - 20,000

= $180,000

Using a mortgage calculator :

Mortgage amount = 180,000

Mortgage term = 30 years

Interest = 5.875%

Monthly payment will be : $1067.07

Hence, if she only wants to $500 from her own money, A rent of ($1067.07 - $500) = $567.07 will need to be charged

What is the expanded form of this number?

18.029

Answers

Step-by-step explanation:

18.029= (1×10)+(8×1)+(2×1100)+(9×1100)

A student solved the equation below by graphing. log Subscript 6 Baseline (x minus 1) = log Subscript 2 Baseline (2 x + 2) Which statement about the graph is true? The curves do not intersect. The curves intersect at one point. The curves intersect at two points. The curves appear to coincide.

Answers

Answer:

A.) The curves do not intersect.

Step-by-step explanation:

By looking at the graph, we can see that the curves do not intercept, meaning that the equation has no solutions.

Graphs of logarithmic functions:

First, here we have the graph of the lines:

y = log₆(x - 1)y = log₂(2x + 2)

Which can be seen at the end of the answer.

In the graph, you can see that the lines never do intercept, this means that the equation:

log₆(x - 1) =  log₂(2x + 2)

Has no solutions.

If you want to learn more about graphs, you can read:

https://brainly.com/question/11234618

Hey. Could you help?

Answers

Answer:

C

Step-by-step explanation:

sorry, I dont have time for a full explanation. maybe wait for the next person's answer too. just to verify mine.

hope this helps <3

Thomas has $50 and is saving $8per week. Matt has $150 and is saving $3 per week. At some point, both boys will have the same amount of money. After how many weeks will the bos have the same amount of money? How much money will they have?

Answers

Answer:

$210 , 20 weeks

Step-by-step explanation:

[tex]50 + 8x = 150 + 3x \\ 5x = 100 \\ x = 20[/tex]

(x + yi) + (4 + 9i) = 9 - 4i

Answers

Answer:

x

=

5

y

i

13

i

Step-by-step explanation:

A student has 6 nickel 14 dimes and 8 quarter.what is the ratios of the total number of coins to the number of nickels ? In simplest form

Answers

Given:

A student has 6 nickel 14 dimes and 8 quarter.

To find:

The ratio of the total number of coins to the number of nickels.

Solution:

We have,

Number of nickels = 6

Number of dimes = 14

Number of quarter = 8

Total number of coins = 6+14+8

                                     = 28

Now, the ratio of the total number of coins to the number of nickels is

[tex]Ratio=\dfrac{\text{Total number of coins}}{\text{Number of nickels}}[/tex]

[tex]Ratio=\dfrac{28}{6}[/tex]

[tex]Ratio=\dfrac{14}{3}[/tex]

[tex]Ratio=14:3[/tex]

Therefore, the  ratio of the total number of coins to the number of nickels is 14:3.

1. E = -20,000p + 90,000
R = -2,170p2 + 87,000p

Answers

The equations of E and R are illustrations of cost and revenue functions

The equation of the break even point is -20,000p + 90,000 = -2,170p^2 + 87,000p

How to determine the break even point

The cost and the revenue functions are given as:

E = -20,000p + 90,000

R = -2,170p^2 + 87,000p

At the break even point, we have:

E = R

Substitute known values

-20,000p + 90,000 = -2,170p^2 + 87,000p

Hence, the equation of the break even point is -20,000p + 90,000 = -2,170p^2 + 87,000p

Read more about break even point at:

https://brainly.com/question/9212451

480/X - 8 - 480/x = 3

Answers

Answer:

i don't know its ans thank you

Answer:

x є ø

Step-by-step explanation:

480/X - 8 - 480/x = 3, x є ø

-8=3 (+480/x -480/x cancels because +smth -the same number)

What is the surface area of this shape?
1 cm
5 cm
4 cm
2 cm
6 cm
3 cm

Answers

I don’t know I think it’s 6cm

Urgent please help..

Answers

the answer to this equation would be 4.

Answer:

4 in

Step-by-step explanation:

bac=6in2 3*2=6 then 2*2=4in2

Which type of function are the following equations?
1. ƒ(x) = 4x^2
2. g(x) = 1 - x
Linear, Exponential or Quadric.
(You mau choose a different answer for each equation).

Answers

Answer:

1 quadric

2 linear

Step-by-step explanation:

plz make me brainliest

Help please!! I'm trying to solve this question but I can't seem to find the length of one side properly, that said, I'm unable to evaluate the whole question as finding the length of one side seems complicated for me right now.


And if you guys find something wrong with the number, do let me know.

Answers

Assuming the rectangles are squares: Length and width are equal so

√98 would give the side length, 9.89cm
Hopefully this helps

In this linear equation what is the dependent variable y=2x+4

Answers

Answer: y

Step-by-step explanation:

The value of y is dependent on the x value. The x value can be anything you choose and is therefore independent of y.

A cake pan has an 8-inch diameter. To the nearest square inch, what is the area of the bottom of the pan?







a
13 in2

b
25 in2

c
50 in2

d
200 in2

Answers

Answer:

50 square inches

Step-by-step explanation:

The pan radius is 4", and so the approximate area of the pan bottom is

A = pi(4 ")^2, or 16 pi, or 50 square inches.

x/3=12; Is 4 a possible value for x?

Answers

Answer:

No.

Step-by-step explanation:

4 x 3 is 12. 4 divided by 3 cannot be 12.

Hope it helps!

Answer:

No

Step-by-step explanation:

Not possible

round 30.25 to the nearest hundreth

Answer​

Answers

Answer:30.3Hope this helps!!~~

Answer:

30.3

Step-by-step explanation:

Think about this the 5 in the hundredth place rounds up not down so it would be 30.3 or 30.30 same thing.

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